38018143800 has 1920 divisors, whose sum is σ = 181034663040. Its totient is φ = 7166361600.

The previous prime is 38018143781. The next prime is 38018143811. The reversal of 38018143800 is 834181083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 927271780 + ... + 927271820.

It is an arithmetic number, because the mean of its divisors is an integer number (94288887).

Almost surely, 2^38018143800 is an apocalyptic number.

38018143800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38018143800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90517331520).

38018143800 is an abundant number, since it is smaller than the sum of its proper divisors (143016519240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38018143800 is a wasteful number, since it uses less digits than its factorization.

38018143800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 38018143800 in words is "thirty-eight billion, eighteen million, one hundred forty-three thousand, eight hundred".